What is the Greatest Common Factor of 48735 and 48754?

Greatest common factor (GCF) of 48735 and 48754 is 19.

GCF(48735,48754) = 19

We will now calculate the prime factors of 48735 and 48754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48735 and 48754.

How to find the GCF of 48735 and 48754?

We will first find the prime factorization of 48735 and 48754. After we will calculate the factors of 48735 and 48754 and find the biggest common factor number .

Step-1: Prime Factorization of 48735

Prime factors of 48735 are 3, 5, 19. Prime factorization of 48735 in exponential form is:

48735 = 3³ × 5¹ × 19²

Step-2: Prime Factorization of 48754

Prime factors of 48754 are 2, 19, 1283. Prime factorization of 48754 in exponential form is:

48754 = 2¹ × 19¹ × 1283¹

Step-3: Factors of 48735

List of positive integer factors of 48735 that divides 48735 without a remainder.

1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 361, 513, 855, 1083, 1805, 2565, 3249, 5415, 9747, 16245

Step-4: Factors of 48754

List of positive integer factors of 48754 that divides 48735 without a remainder.

1, 2, 19, 38, 1283, 2566, 24377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48735 and 48754. The biggest common factor number is the GCF number.
So the greatest common factor 48735 and 48754 is 19.

Also check out the Least Common Multiple of 48735 and 48754